Applied Mathematics
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- Book: Introduction to Social Network Methods (Hanneman)
- 1: Social Network Data
- 2: Why Formal Methods?
- 3: Using Graphs to Represent Social Relations
- 4: Working with Netdraw to Visualize Graphs
- 5: Using Matrices to Represent Social Relations
- 6: Working with Network Data
- 7: Connection
- 8: Embedding
- 9: Ego Networks
- 10: Centrality and Power
- 11: Cliques and Sub-groups
- 12: Positions and Roles - The Idea of Equivalence
- 13: Measures of Similarity and Structural Equivalence
- 14: Automorphic Equivalence
- 15: Regular Equivalence
- 16: Multiplex Networks
- 17: Two-Mode Networks
- 18: Some Statistical Tools
- Book: Introduction to the Modeling and Analysis of Complex Systems (Sayama)
- 1: Introduction to Modeling and Analysis
- 2: Fundamentals of Modeling
- 3: Basics of Dynamical Systems
- 4: Discrete-Time Models I - Modeling
- 4.1: Discrete-Time Models with Difference Equations
- 4.2: Classifications of Model Equations
- 4.3: Simulating Discrete-Time Models with One Variable
- 4.4: Simulating Discrete-Time Models with Multiple Variables
- 4.5: Building Your Own Model Equation
- 4.6: Building Your Own Model Equations with Multiple Variables
- 5: Discrete-Time Models II - Analysis
- 5.1: Finding Equilibrium Points
- 5.2 Phase Space Visualization of Continuous-State Discrete-Time Models
- 5.3 Cobweb Plots for One-Dimensional Iterative Maps
- 5.4 Graph-Based Phase Space Visualization of Discrete-State Discrete-Time Model
- 5.5: Variable Rescaling of Discrete-Time Models
- 5.6: Asymptotic Behavior of Discrete-Time Linear Dynamical Systems
- 5.7 Linear Stability Analysis of Discrete-Time Nonlinear Dynamical Systems
- 6: Continuous-Time Models I - Modeling
- 7: Continuous-Time Models II - Analysis
- 8: Bifurcations
- 9: Chaos
- 10: Interactive Simulations of Complex Systems
- 11: Cellular Automata I - Modeling
- 12: Cellular Automata II - Analysis
- 13: Continuous Field Models I - Modeling
- 14: Continuous Field Models II - Analysis
- 15: Basics of Networks
- 16: Dynamical Networks I - Modeling
- 17: Dynamical Networks II - Analysis of Network Topologies
- 18: Dynamical Networks III - Analysis of Network Dynamics
- 19: Agent-Based Models
- Book: Mathematics for Elementary Teachers (Manes)
- 1: Problem Solving
- 2: Place Value
- 3: Number and Operations
- 3.1: Introduction
- 3.2: Addition: Dots and Boxes
- 3.3: Subtraction: Dots and Boxes
- 3.4: Multiplication: Dots and Boxes
- 3.5: Division: Dots and Boxes
- 3.6: Number Line Model
- 3.7: Area Model for Multiplication
- 3.8: Properties of Operations (Part 1)
- 3.8: Properties of Operations (Part 2)
- 3.9: Division Explorations
- 3.10: Problem Bank
- 4: Fractions
- 4.1: Introduction to Fractions
- 4.2: What is a Fraction?
- 4.3: The Key Fraction Rule
- 4.4: Adding and Subtracting Fractions
- 4.5: What is a Fraction? Revisited
- 4.6: Multiplying Fractions
- 4.7: Dividing Fractions: Meaning
- 4.8: Dividing Fractions: Invert and Multiply
- 4.9: Dividing Fractions: Problems
- 4.10: Fractions involving zero
- 4.11: Problem Bank
- 4.12: Egyptian Fractions
- 4.13: Algebra Connections
- 4.14: What is a Fraction? Part 3
- 5: Patterns and Algebraic Thinking
- 6: Place Value and Decimals
- 7: Geometry
- 8: Voyagin on Hōkūle'a
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Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. Applied mathematics also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models.
Thumbail: An example of complex scale-free network. Image used with permission (CC BY-SA 3.0; Martin Grandjean).